11 citations · 14 across the 29 of their papers we have counts for
5 papers · 1 filter
Transfinite almost square Banach spaces
Antonio Avilés, Stefano Ciaci, Johann Langemets +2
It is known that a Banach space contains an isomorphic copy of if, and only if, it can be equivalently renormed to be almost square. We introduce and study transfinite versio…
Infinite dimensional spaces in the set of strongly norm-attaining Lipschitz maps
Antonio Avilés, Gonzalo Martínez-Cervantes, Abraham Rueda Zoca +1
We prove that if is an infinite complete metric space then the set of strongly norm-attaining Lipschitz functions $\SA(M)$ contains a linear subspace isomorphic to . This…
Residuality in the set of norm attaining operators between Banach spaces
Mingu Jung, Miguel Martin, Abraham Rueda Zoca
We study the relationship between the residuality of the set of norm attaining functionals on a Banach space and the residuality and the denseness of the set of norm attaining oper…
The Daugavet property in spaces of vector-valued Lipschitz functions
Abraham Rueda Zoca
We prove that if a metric space has the finite CEP then has the Daugavet property for every non-zero Banach space . This applies, for in…
Topological properties in tensor products of Banach spaces
Antonio Avilés, Gonzalo Martínez-Cervantes, José Rodríguez +1
Given two Banach spaces and , we analyze when the projective tensor product has Corson's property (C) or is weakly Lindelöf determined (WLD), subspac…